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Finding the Fourth Proportional to 12,027.17, 16,597.61 and 6,649.53

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Solution

The fourth proportional to 12,027.17, 16,597.61 and 6,649.53 is: 9,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.17 : 16,597.61 = 6,649.53 : x
  2. Step 2: Convert to fraction form
    12,027.17/16,597.61 = 6,649.53/x
  3. Step 3: Cross multiply
    12,027.17x = 16,597.61 × 6,649.53
  4. Step 4: Simplify right side
    12,027.17x = 110,366,272.38
  5. Step 5: Solve for x
    x = 110,366,272.38/12,027.17
  6. Step 6: Final answer
    x = 9,176.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.